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Finding the Third Proportional to 112,028 and 177,472

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Solution

The third proportional to 112,028 and 177,472 is: 281,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,028 : 177,472 = 177,472 : x
  2. Step 2: Convert to fraction form
    112,028/177,472 = 177,472/x
  3. Step 3: Cross multiply
    112,028x = 177,472 × 177,472
  4. Step 4: Simplify right side
    112,028x = 31,496,310,784
  5. Step 5: Solve for x
    x = 31,496,310,784/112,028
  6. Step 6: Final answer
    x = 281,146.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.